What is log_{10}((pq^3)/s) ?

The solution to log_{10}((pq^3)/s) is log_{10}(p)+3log_{10}(q)-log_{10}(s)

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simplify log_{10}((pq^3)/s)

simplify

lo g_{10} (\frac{p q ^{3}}{s})

lo g_{10} (p) + 3 lo g_{10} (q) - lo g_{10} (s)

Solution steps

lo g_{10} (\frac{p q ^{3}}{s})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{10} (\frac{p q ^{3}}{s}) = lo g_{10} (p q^{3}) - lo g_{10} (s)

= lo g_{10} (p q^{3}) - lo g_{10} (s)

Simplify

lo g_{10} (p q^{3}) : lo g_{10} (p) + 3 lo g_{10} (q)

= lo g_{10} (p) + 3 lo g_{10} (q) - lo g_{10} (s)

lo g_{10} (\frac{c ^{6}}{a b ^{3}})

lo g_{b} (4) + lo g_{b} (3)

lo g_{6} (\frac{36 a ^{6} 1 - b}{c ( b + 5 ) ^{2}})

ln (\frac{17}{16})

lo g_{e} (9) + ln (8) - ln (10) - lo g_{e} (11)

What is log_{10}((pq^3)/s) ?
The solution to log_{10}((pq^3)/s) is log_{10}(p)+3log_{10}(q)-log_{10}(s)